Planar hydrogen-like atom in inhomogeneous magnetic fields: exactly or quasi-exactly solvable models

DOI10.1007/s11232-015-0291-1zbMath1327.81305OpenAlexW778968477MaRDI QIDQ895056

Liyan Liu, Qing-Hai Hao

Publication date: 26 November 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-015-0291-1

zbMATH Keywords

exactly solvable systemquasi-exactly solvable system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

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• Quasi-exactly-solvable problems and sl(2) algebra
• Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
• Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
• Additional constraints on quasi-exactly solvable systems
• Lie Algebras, Cohomology, and New Applications to Quantum Mechanics
• Two-dimensional hydrogen in a magnetic field: analytical solutions
• Two particles with opposite charge in a homogeneous magnetic field: particular analytical solutions of the two-dimensional Schrödinger equation

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